Bound states in gapped graphene with impurities: Effective low-energy description of short-range interactions

Journal Article · Sat Nov 15 00:00:00 EST 2008 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.78.205429· OSTI ID:21192488

Gupta, Kumar S; Sen, Siddhartha ^[1]

---

1. Theory Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Calcutta 700064 (India)

We obtain a bound-state spectrum of low-energy excitations near the Fermi points of gapped graphene in the presence of a charge impurity. The effects of possible short-range interactions induced by the impurity are modeled by suitable boundary conditions. The spectrum in the subcritical region of the effective Coulomb coupling is labeled by a parameter which characterizes the boundary conditions and determines the inequivalent quantizations of the system. In the supercritical region we obtain a renormalization-group flow for the effective Coulomb coupling.

• OSTI ID: 21192488
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Vol. 78, Issue 20; Other Information: DOI: 10.1103/PhysRevB.78.205429; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOUND STATE
BOUNDARY CONDITIONS
CARBON
COUPLING
DIRAC EQUATION
EXCITATION
FERMI LEVEL
IMPURITIES
INTERACTION RANGE
QUANTIZATION
RENORMALIZATION
SPECTRA